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Finding the Fourth Proportional to 150,201.78, 207,057.65 and 114,329.30

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Solution

The fourth proportional to 150,201.78, 207,057.65 and 114,329.30 is: 157,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,201.78 : 207,057.65 = 114,329.30 : x
  2. Step 2: Convert to fraction form
    150,201.78/207,057.65 = 114,329.30/x
  3. Step 3: Cross multiply
    150,201.78x = 207,057.65 × 114,329.30
  4. Step 4: Simplify right side
    150,201.78x = 23,672,756,184.15
  5. Step 5: Solve for x
    x = 23,672,756,184.15/150,201.78
  6. Step 6: Final answer
    x = 157,606.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.